QCD NLO and EW NLO corrections to $t\bar{t}H$ production with top quark decays at hadron collider

TL;DR

This paper presents detailed calculations of NLO QCD and electroweak corrections to the associated production of a Higgs boson with a top quark pair at hadron colliders, including decay effects and kinematic distributions.

Contribution

It provides the first comprehensive analysis of combined NLO QCD and electroweak corrections to $t\bar{t}H$ production with top decays at various collider energies.

Findings

NLO corrections significantly affect cross sections and distributions.

Electroweak corrections are comparable to QCD corrections in certain kinematic regions.

Results are relevant for precise Higgs property measurements at the LHC and future colliders.

Abstract

Higgs boson production associated with a top quark pair is an important process in studying the nature of the newly discovered Higgs boson at the LHC. In this letter, we report on our calculations including the next-to-leading order (NLO) QCD and NLO electroweak corrections to the $pp\to t\bar{t}H$ process in the standard model. We present the integrated cross sections at the $14~{\rm TeV}$ LHC and even at the future proton-proton colliders with $\sqrt{s}=33$ and $100~{\rm TeV}$. Our calculation includes the top quark subsequent decays by adopting the narrow width approximation. The kinematic distributions of Higgs boson and top quark decay products at the LHC are provided. We find that the ${\cal O}(\alpha_s^2\alpha_{ew}^2)$ corrections are quantitatively comparable with the ${\cal O}(\alpha_s^3\alpha_{ew})$ corrections in some kinematic region.